Three students of class VII participated in a race during a school sports day. In a 1 km race, A wins the race with B by 100 m, and in a 300 m race, B beats C by 50 m. Then in the race of 1 km, with what margin will A beat C?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 250 m .
A : B = 1000 : 900 = 10 : 9
B : C = 300 : 250 = 6 : 5
A : C = (10/9) × (6/5) = 60/45 = 4 : 3
In 1000 m, C runs (3/4) × 1000 = 750 m
Margin = 1000 - 750 = 250 m